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Finding the Fourth Proportional to 74,167.50, 102,355.47 and 42,346.38

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Solution

The fourth proportional to 74,167.50, 102,355.47 and 42,346.38 is: 58,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,167.50 : 102,355.47 = 42,346.38 : x
  2. Step 2: Convert to fraction form
    74,167.50/102,355.47 = 42,346.38/x
  3. Step 3: Cross multiply
    74,167.50x = 102,355.47 × 42,346.38
  4. Step 4: Simplify right side
    74,167.50x = 4,334,383,627.70
  5. Step 5: Solve for x
    x = 4,334,383,627.70/74,167.50
  6. Step 6: Final answer
    x = 58,440.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.